What's the quickest, easiest way to point the camera somewhere in blender?
The absolute quickest way to do this is to find a good position in the 3d viewport by navigating as normal with the mouse. Next, select the camera and use Ctrl + Alt + Numpad 0 or from the 3d view header, View &gt; Align View &gt; Align Active Camera to View to position/point the camera in the direction you are facing in the viewport.
Alternatively, to point the camera towards an object, you can select the camera, add a Track To constraint to it (constraints can be added in the Constraints tab), choose the object in the Target field, -Z in the To field, and Y in the Up field.

The camera will now always point at the object no matter where it (the camera or object) is moved to. This way isn't very efficient however and it is much better to point the camera towards an empty and then position the empty wherever the point of interest lies.